A Class of Regression Estimators for Finite Population Mean under Two-Phase Sampling

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-3
Year of Publication : 2021
Authors : Priyaranjan Dash, Bishnupriya Behera
  10.14445/22315373/IJMTT-V67I3P507

MLA

MLA Style: Priyaranjan Dash, Bishnupriya Behera  "A Class of Regression Estimators for Finite Population Mean under Two-Phase Sampling" International Journal of Mathematics Trends and Technology 67.3 (2021):51-56. 

APA Style: Priyaranjan Dash, Bishnupriya Behera(2021). A Class of Regression Estimators for Finite Population Mean under Two-Phase Sampling International Journal of Mathematics Trends and Technology, 51-56.

Abstract
In this paper, we have suggested two different classes of regression-type estimators in two phase sampling using SRSWOR scheme at all the phases. We have seen that one of the suggested class of estimator is more efficient than some existing estimators as it has a minimum mean square error in three phase sampling.

Reference

[1] Bisht, K. K. S., Sisodia, B. V. S., Efficient estimators of mean of finite populations with known coefficient of variation, Journal of Indian Society of Agricultural Statistics, 42(1) (1990) 131-139.
[2] Bose, C., Note on the sampling error in the method of double sampling. Sankhya, The Indian Journal of Statistics, 6 (1943) 329-330.
[3] Chaiterjee, S. and Hadi, A.S., Sensitivity Analysis in Linear Regression, John Wiley & Sons, (1988).
[4] Chaterjee, S. and Hadi, A.S., Regression Analysis by Example, Fourth Edition, John Wiley & Sons, (2006).
[5] Cochban, W. G., Sampling Techniques, John Wiley and Sons, New York, (1963).
[6] Cochban, W. G., Sampling Techniques, John Wiley and Sons, New York, (1977).
[7] Gujarati, D.N., Basic Econometrics, Fourth Edition, McGraw-Hill Companies, (2004).
[8] Khan, M., A ratio chain-type exponential estimator for finite population mean using double sampling. Springer Plus, 5 (2016) 1–9.
[9] Khare, B.B., Srivastava, U., Kumar, K., A generalized chain ratio in regression estimator for population mean using two auxiliary characters in sample survey, Jour Sci Res Banaras Hindu Univ Varanasi, 57 (2013) 147–153.
[10] Kiregyera, B., A chain ratio-type estimator in finite population mean in double sampling using two auxiliary variables, Metrika, 27 (1980) 217–223.
[11] Kiregyera, B., Regression-type estimator using two auxiliary variables and model of double sampling from finite populations, Metrika, 31(1984) 215–223.
[12] Mukerjee, R., Rao, T. J. and Vijayan, K., Regression type estimators using multiple auxiliary information, Australian Journal of Statistics, 29(3) (1987) 244–254.
[13] Naik, V. D., Gupta, P. C., A general class of estimators for estimating population mean using auxiliary information. Metrika, 38 (1991) 11-17.
[14] Rao, P.S.R.S., Ratio and regression estimates with sub sampling the non-respondents, Paper presented at a special contributed session of the International Statistical Association Meeting, Sept., Tokyo, Japan, (1987) 2-16.
[15] Rawlings, J.O., Pantula, S.G. , Dickey, D. A., Applied Regression Analysis: A Research Tool, Second Edition, Springer-Verlag, (1998).
[16] Sahoo, J., Sahoo, L. N., Mohanty, S., A regression approach to estimation in two phase sampling using two auxiliary variables, Current Science, 65(1) (1993) 73-75.
[17] Singh, G.N., Majhi, D., Some chain-type exponential estimators of population mean in two-phase sampling. Statistical Transitions, 15(2) (2014) 221–230.
[18] Singh, H. P., Tailor, R., Estimation of finite population mean with known coefficient of variation of an auxiliary character. Statistica, LXV(3) (2005) 407-418.
[19] Singh, H. P., Tailor, R., Estimation of finite population mean using known correlation coefficient between auxiliary characters. Statistica, LXV(3) (2005) 301- 313.
[20] Singh, H.P., Singh, S., Kim, J.M., General families of chain ratio type estimators of the population mean with known coefficient of variation of the second auxiliary variable in two phase sampling, Jour Korean Stat Soc, 35(4) (2006) 377–395.
[21] Swain, A.K.P.C., On Classes of Modified Ratio type and Regresion-cum-Ratio type estimators in Sample Surveys using Two Auxiliary Variables, Statistics in Transition-new series, 13(3) (2012) 473-494.
[22] Tamhane, A. C., Inference Based on Regression Estimator in Double Sampling, Biometrika, 65(2) (1978) 419-427.
[23] Upadhyaya, L. N., Singh, H. P., An estimator for population variance that utilizes the kurtosis of an auxiliary variable in sample surveys, Vikram Mathematical Journal, 19 (1999) 14-17.

Keywords : Multi-phase sampling, regression estimator, bias, mean square error (MSE).